406362880 has 432 divisors, whose sum is σ = 1342172160. Its totient is φ = 116121600.

The previous prime is 406362841. The next prime is 406362941. The reversal of 406362880 is 88263604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13108465 + ... + 13108495.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^406362880 is an apocalyptic number.

406362880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671086080).

406362880 is an abundant number, since it is smaller than the sum of its proper divisors (935809280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406362880 is a wasteful number, since it uses less digits than its factorization.

406362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 406362880 is about 20158.4443844261. Note that the first 3 decimals coincide. The cubic root of 406362880 is about 740.6926069661.

The spelling of 406362880 in words is "four hundred six million, three hundred sixty-two thousand, eight hundred eighty".